Question

A man travels 14 hours and 40 minutes. Half of the journey is in train at a speed of 60 km/hr and remaining half is in road at a speed of 50 km/hr. Distance travelled is...? ​

Answer 1

Given: Total time taken by man to cover total distance is 14 hours 40 minutes.

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☯ Let Total distance travelled by Man be x km.

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$\dag\;{\underline{\frak{As\;we\;know\;that,}}}$

$\star\;{\boxed{\sf{\pink{Speed = \dfrac{Distance}{Time}}}}}\\ \\ \\ :\implies\sf Time = \dfrac{Distance}{Speed}$

$\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}$

$:\implies\sf 14 \dfrac{40}{60} = \dfrac{ \frac{x}{2}}{60} + \dfrac{ \frac{x}{2}}{50}$

$:\implies\sf 14 \dfrac{2}{3} = \dfrac{x}{120} + \dfrac{x}{100}$

$:\implies\sf \dfrac{44}{3} = \dfrac{100x + 120x}{12000}$

$:\implies\sf \dfrac{44}{3} = \dfrac{220x}{12000}$

$:\implies\sf \dfrac{44}{ \cancel{3}} \times \cancel{12000} = 220x$

$:\implies\sf 44 \times 4000 = 220x$

$:\implies\sf 176000 = 220x$

$:\implies\sf x = \cancel{ \dfrac{176000}{220}}$

$:\implies{\underline{\boxed{\frak{\purple{x = 800}}}}}\;\bigstar$

$\therefore\:{\underline{\sf{Hence,\:Total\:distance\:travelled\:by\:man\:is\: {\textsf{\textbf{800\:km}}}.}}}$

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$\qquad\qquad\boxed{\bf{\mid{\overline{\underline{\pink{\bigstar\: More\: to \: know :}}}}}\mid}$

Distance: The complete length of the path between any two points is called distance.

Distance is denoted by "d".

Distance is a scalar quantity as it only depends upon the magnitude and not the direction.

The distance can only have positive values.